Algebra 1 Review

Quadratic Equations Find the solutions

100

-64+k²=0

8, -8

200

–4z² + 13z – 3 = 0

1/4, 3

300

–w² + 6w + 72 = 0

-6, 12

400

–h² – 4h + 5 = 0

-5, 1

500

y² + 8y = 0

0, -8

Exponents

100

Simplify 2⁴

16

200

What is 9³?

729

300

What is 2⁵?

32

400

What is the value of the square root of 121?

 +11 and -11

500

What is the value of the square root of -25?

no real solutions

Multiplying polynomials

100

Simplify the following expression:

(x + 2)(2x - 3)

2x² + x - 6

200

(x³ - 5x)(x²+3)

x⁵ -2x³ -15x

300

3xy(4x²y +7x - 2y)

12x³y² +21x2y -6xy²

400

(4x - 9)²

16x² - 72x + 81

500

(3x + 4)(3x - 4)

9x² -16

Linear equations

100

Write the equation of the line parallel to y=3/4x - 5 that goes through the point (0, 3)

 

y = 3/4x + 3

200

What is the slope of the line that is perpendicular to the line y = 2x + 7?

- 1/2

300

Solve for x

-4(x + 7) = 2x + 8

-6

400

Write the equation 9x - 3y = 12 in slope intercept form

y = 3x - 4

500

Solve for x

2x + 4 = 5(x - 7)

13

Systems

100

3x + y = 6

4x - y  = 15

(3, -3)

200

y = -3x + 12

y = x + 8

(1, 9)

300

3y = 5x - 15

6y = -10x + 90

(6, 5)

400

Describe a system with no solutions

slopes are the same and y-intercepts are different ...

parallel lines

500

Find k so that the system has infinite solutions

-3x + ky = 6

9x - 6y = -18

2 = k

Factoring Trinomials

100

b² + 8 b + 7

(b+7)(b+1)

200

n²-11n+10

(n-10) (n-1)

300

3m²+6m-72

3(m+6)(m-4)

400

25x² - 81

(5x + 9)(5x - 9)

500

5p²+55p+50

5(p+10) (p+1)